摘要
插值矩阵法是求解两点边值问题的数值法。本文研究该法的误差分析,论证了用插值矩阵法解得的y(x),y′(x),y″(x),…,有相同的精度,并对一类二阶方程,给出该法的稳定性证明和收敛阶。
Interpolating matrix method is a numerical method for solving two-point boundary value problems. This paper investigates the error analysis of the method,proving the same precision for the solutionsy Y(x) ,y' (x) ,... ,y(r)(x) obtained by the method. We provide the convergence order estimate and good stability property of the method for a kind of second order scalar equations.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
1993年第1期25-32,共8页
Journal of Hefei University of Technology：Natural Science
关键词
两点边值问题
数值解
插值矩阵法
two-point BVP, numerical solution, interpolating matrix method, error analysis
